The ratio of income in two consecutive years is 2: 3 respectively. The ratio of their expenditure is 5: 9. Income of second-year is Rs 45000 and Expenditure of first-year is Rs 25000. Find the Savings in both years together.

Sure, let's solve this step by step.

Step 1: We know the ratio of income in two consecutive years is 2:3. So, if the income of the second year is Rs 45000, then the income of the first year can be calculated as follows:

Let's assume the income of the first year is 'x'. So, we can write the ratio as x/45000 = 2/3. Solving this equation, we get x = (2/3) * 45000 = Rs 30000. So, the income of the first year is Rs 30000.

Step 2: We know the ratio of their expenditure is 5:9. So, if the expenditure of the first year is Rs 25000, then the expenditure of the second year can be calculated as follows:

Let's assume the expenditure of the second year is 'y'. So, we can write the ratio as 25000/y = 5/9. Solving this equation, we get y = (9/5) * 25000 = Rs 45000. So, the expenditure of the second year is Rs 45000.

Step 3: Now, we can calculate the savings for each year. Savings is calculated as Income - Expenditure.

So, the savings for the first year = Income of the first year - Expenditure of the first year = Rs 30000 - Rs 25000 = Rs 5000.

And, the savings for the second year = Income of the second year - Expenditure of the second year = Rs 45000 - Rs 45000 = Rs 0.

Step 4: The total savings for both years together = Savings of the first year + Savings of the second year = Rs 5000 + Rs 0 = Rs 5000.

So, the total savings in both years together is Rs 5000.